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Opt Lett. 2005 Dec 1;30(23):3237-9.

Characterization of nonlinear phase shifts by use of the temporal transport-of-intensity equation.

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  • 1Bell Laboratories-Lucent Technologies, Holmdel, New Jersey 07733, USA.


A temporal transport-of-intensity equation is derived to describe the evolution of the instantaneous power of the electric field in a dispersive medium. As its spatial counterpart, which can be used to measure wavefronts using the intensity measured after various amounts of diffraction, the temporal transport-of-intensity equation allows the determination of temporal phase shifts using only intensity measurements in a direct noninterferometric way. The application to the characterization of nonlinear phase shifts induced by self-phase modulation and cross-phase modulation is used to determine the nonlinear coefficient of a highly nonlinear fiber.

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